Abstract In lifetime analysis of lithium-ion batteries, the failure of a battery is commonly defined as the time point at which the battery holds only a certain percentage of its initial storage capacity. Usually, lifetime experiments are carried out to record degradation up to a certain level, and thus do not offer an appropriate data base for fitting lifetime distributions to different end-of-life (EoL) criteria by means of residual capacity. However, for a second use of batteries, e.g. in a home energy storage system, lifetime modeling for long-term usage is of specific interest. Based on real data from long-term cyclic aging experiments with lithium-ion batteries, the fitting of three of the most popular lifetime distributions, namely Weibull, lognormal and inverse Gaussian distributions, is examined with respect to some particular EoL criteria. The impact of chosen lifetime distributions on confidence intervals (CIs) for the mean lifetime and certain quantiles is studied. Moreover, since data of capacity decline are commonly interval-censored, comparisons of resulting CIs under full and interval-censored information are made by means of simulations.

中文翻译：

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将寿命分布拟合到锂离子电池的区间删失循环老化数据

摘要 在锂离子电池寿命分析中，电池失效通常定义为电池仅保持其初始存储容量的一定百分比的时间点。通常，进行寿命实验是为了记录达到某个水平的退化，因此没有提供合适的数据库来通过剩余容量将寿命分布拟合到不同的寿命终止 (EoL) 标准。然而，对于电池的第二次使用，例如在家庭储能系统中，长期使用的寿命建模是特别令人感兴趣的。基于锂离子电池长期循环老化实验的真实数据，拟合三种最流行的寿命分布，即威布尔分布、对数正态分布和逆高斯分布，根据某些特定的 EoL 标准进行检查。研究了所选寿命分布对平均寿命和某些分位数的置信区间 (CI) 的影响。此外，由于容量下降的数据通常是区间删失的，因此通过模拟对完整信息和区间删失信息下的结果 CI 进行比较。